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11914500 = 2235313247
BaseRepresentation
bin101101011100…
…110100000100
3211102022121210
4231130310010
511022231000
61103211420
7203162103
oct55346404
924368553
1011914500
1167a85a4
123ba6b70
132612100
14182203a
1510a5350
hexb5cd04

11914500 has 144 divisors (see below), whose sum is σ = 38368512. Its totient is φ = 2870400.

The previous prime is 11914499. The next prime is 11914531. The reversal of 11914500 is 541911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253477 + ... + 253523.

It is an arithmetic number, because the mean of its divisors is an integer number (266448).

Almost surely, 211914500 is an apocalyptic number.

11914500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11914500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184256).

11914500 is an abundant number, since it is smaller than the sum of its proper divisors (26454012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11914500 is a wasteful number, since it uses less digits than its factorization.

11914500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11914500 is about 3451.7386923115. The cubic root of 11914500 is about 228.3978127286.

Adding to 11914500 its sum of digits (21), we get a triangular number (11914521 = T4881).

The spelling of 11914500 in words is "eleven million, nine hundred fourteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 125 130 141 150 156 169 188 195 235 250 260 282 300 325 338 375 390 470 500 507 564 611 650 676 705 750 780 845 940 975 1014 1175 1222 1300 1410 1500 1625 1690 1833 1950 2028 2350 2444 2535 2820 3055 3250 3380 3525 3666 3900 4225 4700 4875 5070 5875 6110 6500 7050 7332 7943 8450 9165 9750 10140 11750 12220 12675 14100 15275 15886 16900 17625 18330 19500 21125 23500 23829 25350 30550 31772 35250 36660 39715 42250 45825 47658 50700 61100 63375 70500 76375 79430 84500 91650 95316 119145 126750 152750 158860 183300 198575 229125 238290 253500 305500 397150 458250 476580 595725 794300 916500 992875 1191450 1985750 2382900 2978625 3971500 5957250 11914500